6(x+6)=-2(4x-9)+4x

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Solution for 6(x+6)=-2(4x-9)+4x equation:


Simplifying
6(x + 6) = -2(4x + -9) + 4x

Reorder the terms:
6(6 + x) = -2(4x + -9) + 4x
(6 * 6 + x * 6) = -2(4x + -9) + 4x
(36 + 6x) = -2(4x + -9) + 4x

Reorder the terms:
36 + 6x = -2(-9 + 4x) + 4x
36 + 6x = (-9 * -2 + 4x * -2) + 4x
36 + 6x = (18 + -8x) + 4x

Combine like terms: -8x + 4x = -4x
36 + 6x = 18 + -4x

Solving
36 + 6x = 18 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
36 + 6x + 4x = 18 + -4x + 4x

Combine like terms: 6x + 4x = 10x
36 + 10x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + 10x = 18 + 0
36 + 10x = 18

Add '-36' to each side of the equation.
36 + -36 + 10x = 18 + -36

Combine like terms: 36 + -36 = 0
0 + 10x = 18 + -36
10x = 18 + -36

Combine like terms: 18 + -36 = -18
10x = -18

Divide each side by '10'.
x = -1.8

Simplifying
x = -1.8

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